Because a traditional optical fiber light guiding system includes tracking device, it also inevitably has complex structure, high construction and maintenance costs, short life span low reliability. Although several types have been developed for decades, there are no successful products on the market. The biggest cause of problem is that all systems must device. This paper studies solar optic g...

The purposes of this study were to examine perceptions of places to play and be physically active among children from two different urban neighborhoods, and evaluate these perceptions for age-related developmental differences. One hundred and sixty-eight children from grades K-6 (aged 6-12 years old) completed mental maps depicting places where they could play and be physically active. The chil...

Variational Gaussian (VG) inference methods that optimize a lower bound to the marginal likelihood are a popular approach for Bayesian inference. A difficulty remains in computation of the lower bound when the latent dimensionality L is large. Even though the lower bound is concave for many models, its computation requires optimization over O(L) variational parameters. Efficient reparameterizat...

In this paper, we present some operator and eigenvalue inequalities involving monotone, doubly concave convex functions. These provide variants of Acz\'{e}l inequality its reverse via generalized Kantorovich constant.

The enumeration of shortest paths in cubic grid is presented here. The cubic grid considers three neighborhods— 6-neighborhood (face connectivity), 18-neighborhood (edge connectivity), and 26-neighborhood (vertex connectivity). The formulation for distance metrics are given here. L1, D18, and L∞ are the three metrics for 6-neighborhood, 18-neighborhood, and 26-neighborhood. The problem is to fi...

based on a complete heyting algebra, we modify the definition oflattice-valued fuzzifying convergence space using fuzzy inclusionorder and construct in this way a cartesian-closed category, calledthe category of $l-$ordered fuzzifying convergence spaces, in whichthe category of $l-$fuzzifying topological spaces can be embedded.in addition, two new categories are introduced, which are called the...

The amplituhedron \(\mathcal{A}_{n,k,m}\) was introduced by Arkani-Hamed and Trnka (2014) in order to give a geometric basis for calculating scattering amplitudes planar \(\mathcal{N}=4\) supersymmetric Yang-Mills theory. It is projection inside the Grassmannian \(\text{Gr}_{k,k+m}\) of totally nonnegative part \(\text{Gr}_{k,n}\). Karp Williams (2019) studied \(m=1\) \(\mathcal{A}_{n,k,1}\), g...

In this paper, we propose a closed queueing network model for performance analysis of electric vehicle sharing systems with certain number chargers in each neighborhood. Depending on the demand distribution, devise algorithms to compute optimal fleet size and required maximize profit while maintaining quality service. We show that is concave respect at charging point. If more are installed with...